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Finding the Third Proportional to 378,479 and 826,617

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Solution

The third proportional to 378,479 and 826,617 is: 1,805,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,479 : 826,617 = 826,617 : x
  2. Step 2: Convert to fraction form
    378,479/826,617 = 826,617/x
  3. Step 3: Cross multiply
    378,479x = 826,617 × 826,617
  4. Step 4: Simplify right side
    378,479x = 683,295,664,689
  5. Step 5: Solve for x
    x = 683,295,664,689/378,479
  6. Step 6: Final answer
    x = 1,805,372.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.